105057007 has 8 divisors (see below), whose sum is σ = 114871680. Its totient is φ = 95286360.

The previous prime is 105056999. The next prime is 105057019. The reversal of 105057007 is 700750501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105057007 - 2³ = 105056999 is a prime.

It is a super-2 number, since 2×105057007² = 22073949439596098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105037007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5907 + ... + 15652.

It is an arithmetic number, because the mean of its divisors is an integer number (14358960).

Almost surely, 2^105057007 is an apocalyptic number.

105057007 is a deficient number, since it is larger than the sum of its proper divisors (9814673).

105057007 is a wasteful number, since it uses less digits than its factorization.

105057007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22013.

The product of its (nonzero) digits is 1225, while the sum is 25.

The square root of 105057007 is about 10249.7320452781. The cubic root of 105057007 is about 471.8547608646.

The spelling of 105057007 in words is "one hundred five million, fifty-seven thousand, seven".